The generator matrix

 1  0  0  1  1  1  0  1  2  1  1  2  1  2 X+2  1  X  1  1  1  X  X  1 X+2  1  1  X  1  2  1  1  1  1  1  1  X  1  X X+2  1  1  2  1  1  1  2 X+2 X+2  2  1  1  0  1  1  2  1  0  1  1  1  1  1  2  X  0  X  1 X+2  X  1  1  X  1
 0  1  0  0  1  3  1  X  1  1  2  1 X+1 X+2  1  0  2 X+2 X+3 X+3  1  1 X+1  1 X+2 X+3  2  X  1  0  X  0 X+3 X+1 X+3  1 X+2  0  1  X  3  2 X+1 X+2  0  X  1  1  1  2 X+1  1 X+1  3  1  2  1  3  X  2 X+2  0  1  1  1 X+2  X X+2  0 X+2 X+3  1 X+2
 0  0  1 X+1 X+3  0 X+1  1  X  1  X  3  0  1  X  3  1 X+2  X  1 X+3  2 X+3  1  2  2  1  X X+2  2 X+1 X+2  2 X+3 X+2 X+3  3  1  X  1 X+2  1  3 X+1 X+2  1 X+2  0  3  2  3 X+1  0  3 X+1  X  0 X+3  2  1 X+2 X+1  3 X+1  1  1 X+3  1  1  0 X+3  3  2
 0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  2  0  0  2  0  2  0  2  2  2  0  0  2  0  0  2  0  2  0  2  0  0  2  0  0  0  0  0  2  0  2  2  0  2  2  0  2  0  0  0  0  0  0  2  0  0  2  2  0  2  2  0
 0  0  0  0  2  2  2  0  2  2  0  2  2  0  2  0  0  0  2  0  0  2  0  0  2  0  2  2  0  2  2  2  2  0  0  0  2  0  0  2  2  2  0  0  0  0  2  0  2  0  2  0  0  2  2  2  2  0  0  0  2  2  0  2  0  2  0  0  2  2  2  0  2

generates a code of length 73 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+209x^68+176x^69+225x^70+188x^71+271x^72+170x^73+253x^74+84x^75+148x^76+70x^77+72x^78+36x^79+31x^80+22x^81+22x^82+12x^83+31x^84+10x^85+3x^86+13x^88+1x^90

The gray image is a code over GF(2) with n=292, k=11 and d=136.
This code was found by Heurico 1.16 in 0.413 seconds.